JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    The equation to a circle whose centre lies at the point (-2, 1) and which touches the line \[3x-2y-6=0\] at (4, 3), is

    A) \[{{x}^{2}}+{{y}^{2}}+4x-2y-35=0\]

    B) \[{{x}^{2}}+{{y}^{2}}-4x+2y+35=0\]

    C) \[{{x}^{2}}+{{y}^{2}}+4x+2y+35=0\]

    D) None of these

    Correct Answer: A

    Solution :

    Centre (-2, 1), radius \[=\sqrt{36+4}=\sqrt{40}\]                    Hence equation of circle is \[{{x}^{2}}+{{y}^{2}}+4x-2y-35=0\].


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